Time and Distance Problems for SBI Clerk Pre 2023 With Detailed Solution

1

The speeds of the Shaan and Rohan are 50 km/h and 30 km/h respectively. Initially Shaan is at a place N and Rohan is at a place M. The distance between M and N is 710 km. Shaan started his journey 3 hours earlier than Rohan to meet each other. If they meet each other at a place R somewhere between M and N. then the distance between R and N is

» Explain it

Correct Option: B

Distance covered by Shaan in 3 hours = 3 × 50 = 150 km

∴ Remaining distance = 710 – 150 = 560 km Relative speed = 50 + 30 = 80 kmph

∴ They meet after =	560	= 7 hours
	80

Now, Shaan covers the total distance in (7 + 3 )= 10 hours

∴ Distaance covered by Shaan in 10 hours = 50 × 10 = 500 km

∴ Distance between R and N = 500 km.

Hence, option B is correct.

1

शान और रोहन की गति क्रमशः 50 किमी/घंटा और 30 किमी/घंटा है। प्रारंभ में शान स्थान N पर है और रोहन M स्थान पर है। M और N के बीच की दूरी 710 किमी है। शान ने एक दूसरे से मिलने के लिए रोहन से 3 घंटे पहले अपनी यात्रा शुरू की। यदि वे एक दूसरे से M और N के बीच R स्थान पर मिलते हैं। तो R और N के बीच की दूरी क्या है?

» Explain it

सही विकल्प : B

Distance covered by Shaan in 3 hours = 3 × 50 = 150 km

∴ Remaining distance = 710 – 150 = 560 km Relative speed = 50 + 30 = 80 kmph

∴ They meet after =	560	= 7 hours
	80

Now, Shaan covers the total distance in (7 + 3 )= 10 hours

∴ Distaance covered by Shaan in 10 hours = 50 × 10 = 500 km

∴ Distance between R and N = 500 km.

Hence, option B is correct.

2

The distance between two places A and B is 370 km. the 1^st car departs from place A to B, at a speed of 80 kmph at 10 am and 2^ndcar departs from place B to A at a speed of 50 kmph at 1 pm. At what time both cars meet each other?

» Explain it

Correct Option: B

Total distance = 370 km

Now, the distance covered by first car in (10 am to 1 pm =) 3 hours = 80 × 3 = 240 km
Remaining distance = 370 – 240 = 130 km

Relative speed = 80 + 50 = 130 kmph

Now, they cover 130 km in	(	130	=	)	1	hours = 60 mins
		130			1

So, they meet 60 mins after 1 pm. So, reqd answer = 2 : 00 pm.

Hence, option B is correct.

2

दो स्थानों A और B के बीच की दूरी 370 किमी है। पहली कार स्थान A से B तक 80 किमी प्रति घंटे की गति से 10 am बजे प्रस्थान करती है और दूसरी कार स्थान B से A तक 50 किमी प्रति घंटे की गति से 1pm बजे प्रस्थान करती है। दोनों कारें एक दुसरे से किस समय मिलती हैं?

» Explain it

सही विकल्प : B

Total distance = 370 km

Now, the distance covered by first car in (10 am to 1 pm =) 3 hours = 80 × 3 = 240 km
Remaining distance = 370 – 240 = 130 km

Relative speed = 80 + 50 = 130 kmph

Now, they cover 130 km in	(	130	=	)	1	hours = 60 mins
		130			1

So, they meet 60 mins after 1 pm. So, reqd answer = 2 : 00 pm.

Hence, option B is correct.

3

A man takes 5 hours 45 minutes to walk to a certain place and ride back. He would have saved 2 hours had he ridden both ways. The time he would take to walk both ways is

» Explain it

Correct Option: C

1 Bike + 1 Walk = 5 hrs 45 mins

2 Bike = 3 hrs 45 mins

Hence 1 way Bike journey takes 1 hrs 52.5 mins

So, 1 way walk should take (5 hr 45 mins) – (1 hrs 52.5 mins) = 3 hr 52.5 mins

2-way walk would take: 3 hr 52.5 mins 2 = 7 hr 45 mins

Hence, option C is correct.

3

एक व्यक्ति को एक निश्चित स्थान तक चलने और वापस सवारी करने में 5 घंटे 45 मिनट का समय लगता है। अगर उसने दोनों तरफ से सवारी की होती तो उसने 2 घंटे बचा लिए होते। उसे दोनों ओर चलने में लगने वाला समय क्या है?

» Explain it

सही विकल्प : C

1 Bike + 1 Walk = 5 hrs 45 mins

2 Bike = 3 hrs 45 mins

Hence 1 way Bike journey takes 1 hrs 52.5 mins

So, 1 way walk should take (5 hr 45 mins) – (1 hrs 52.5 mins) = 3 hr 52.5 mins

2-way walk would take: 3 hr 52.5 mins 2 = 7 hr 45 mins

Hence, option C is correct.

4

A and B start at the same time with speeds of 40 km/hr and 50 km/hr respectively. If in covering the journey A takes 15 minutes longer than B, the total distance of the journey is

» Explain it

Correct Option: C

Let x be the total distance of the journey.

Time taken by A – Time taken by B

= 15 minutes =	1	hours
	4

x	–	x	=	1	⇒	x	=	1
40	–	50	=	4	⇒	200	=	4

∴ x = 50 km.

Hence, option C is correct.

4

A और B एक ही समय पर क्रमशः 40 किमी/घंटा और 50 किमी/घंटा की गति से शुरू करते हैं। यदि यात्रा को तय करने में A, B से 15 मिनट अधिक लेता है, तो यात्रा की कुल दूरी क्या है?

» Explain it

सही विकल्प : C

Let x be the total distance of the journey.

Time taken by A – Time taken by B

= 15 minutes =	1	hours
	4

x	–	x	=	1	⇒	x	=	1
40	–	50	=	4	⇒	200	=	4

∴ x = 50 km.

Hence, option C is correct.

5

A motor starts with the speed of 70 kmph with its speed increasing every two hours by 10 kmph. In how many hours will it cover 345 kms?

A

2	1	hours
	4

B

4	1	hours
	2

» Explain it

Correct Option: B

Distance covered in first two hours = 70 × 2 = 140 km

Distance covered in next two hours = 80 × 2 = 160 km

Distance covered in first four hours = 140 + 160 = 300 km

Remaining distance = 345 – 300 = 45 km

Now, this distance will be covered at the rate of 90 km/hr.

∴ time taken =	45	=	1	hour
	90		2

Total time = 4 +	1	= 4	1	hours
	2		2

Hence, option B is correct.

5

एक मोटर 70 किमी प्रति घंटे की गति से शुरू होती है और इसकी गति हर दो घंटे में 10 किमी प्रति घंटे बढ़ जाती है। यह कितने घंटे में 345 किलोमीटर की दूरी तय करेगी?

A

2	1	घंटे
	4

B

4	1	घंटे
	2

C

4 घंटे 5 मिनट

D

निर्धारित नहीं किया जा सकता।

E

इनमें से कोई नहीं।

» Explain it

सही विकल्प : B

Distance covered in first two hours = 70 × 2 = 140 km

Distance covered in next two hours = 80 × 2 = 160 km

Distance covered in first four hours = 140 + 160 = 300 km

Remaining distance = 345 – 300 = 45 km

Now, this distance will be covered at the rate of 90 km/hr.

∴ time taken =	45	=	1	hour
	90		2

Total time = 4 +	1	= 4	1	hours
	2		2

Hence, option B is correct.

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Time and Distance problems with Solutions for CET, SBI Clerk Pre 2023 at Smartkeeda

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