Time, Speed and Distance Problems with Solutions for Bank Exams - 1

Question: 1

An express train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take reach its destination 600 km from the starting point?

(A) 6 hrs 20 min

(B) 6 hrs 21 min

(C) 6 hrs 24 min

(D) 6 hrs 28 min

Ans: B

Time taken to cover 600 km = $$({600}/{100})$$hrs = 6 hrs.

Number of stoppages = $${600}/{75} -1$$ = 7.

Total time of stoppage = (3 × 7) min = 21 min.

Hence, total time taken = 6 hrs 21 min.

Question: 2

How long must a driver take to drive the final 70miles of a trip if he wants to average 50 miles an hour for the entire trip and during the first part of the trip he drove 50 miles in $$1{1}/{2}$$ hours?

(A) 52 min

(B) 54 min

(C) 1 hour

(D) 66 min

Ans: B

Total distance = (70 + 50) miles = 120 miles.

Average speed = 50 miles/hour.

Required time to journey = $$({120}/{50})$$hr = $${12}/{5}$$hr = $$2{2}/{5}$$ = 2hr 24 min

Time taken to cover 50 miles = $$1{1}/{2}$$hr = 1 hr 30 min.

∴ Remaining time = (2 hr 24 min - 1 hr 30 min) = 54 min.

Question: 3

The jogging track in a sports complex is 726 metres in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in

(A) 4.9 min

(B) 5.28 min

(C) 5.5 min

(D) 6 min

Ans: B

Clearly, the two will meet when they are 726 m apart.

To be (4.5 + 3.75) = 8.25 km apart, they take 1 hour.

To be 726 m apart, they take $$({100 / 825} × {726 / 1000})$$hrs

                                = $$({242}/{2750} × 60)$$min = 5.28 min.

Question: 4

Rani goes to school from her house in 30 minutes. Raja takes 45 minutes in covering the same distance. Find the ratio between time taken by Rani and Raja.

(A) 1 : 3

(B) 2 : 3

(C) 4 : 3

(D) 5 : 3

Ans: B

Rani goes to school from her house = 30 minutes

Raja goes to school from her house = 45 minutes

Required ratio = 30 : 45 = 2 : 3.

Question: 5

A train travels at a speed of 30 km/hr for 12 minutes and at a speed of 45 km/hr for the next 8 minutes. The average speed of the train for this journey is

(A) 30 km/hr

(B) 32 km/hr

(C) 36 km/hr

(D) 48 km/hr

Ans: C

Total distance travelled = $$(30 × {12}/{60} + 45 × {8}/{60})$$km = 12 km.

Total time taken = (12 + 8) min = 20 min = $${1}/{3}$$hr.

Average speed = (12 × 3) km/hr = 36 km/hr.

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