Top 100+ Time and Distance Aptitude Questions and Answers - 2

Question: 6

A car covers 650 km in 12 hours and others 850 km in 18 hours. Find the average speed of the car.

(A) 47 kmph

(B) 48 kmph

(C) 50 kmph

(D) 52 kmph

Ans: C

Let distance covered be x in 15 minutes

Average speed = $${Time distance} / {Time taken}$$

                        = $$({650 + 850} / {12 + 18})$$

                        = $$({1500} / {30})$$

                        = 50 kmph.

Question: 7

Suresh is walking at a speed of 10 kilometres per hour. After every kilometer he takes rest for 5 minutes. The time taken to cover a distance of 5 kilometres by Suresh is

(A) 30 minutes

(B) 35 minutes

(C) 40 minutes

(D) 50 minutes

Ans: D

Speed of Suresh = 10 kmph

Suresh will take rest four times during his journey.

∴ Required time = $$(5 × {1} / {10} × 60)$$minutes + (5 × 4) minutes

= (30 + 20) minutes = 50 minutes.

Suresh takes him to cover a distance of 5 kms.

Question: 8

A man crosses a street 600 m long in 5 minutes. His speed in km per hour is

(A) 3.6

(B) 7.2

(C) 8.4

(D) 10

Ans: B

Speed = $$(600/ 5 × 60)$$ m/sec

          = $$(600 / 5 × 60 × {18} / {5})$$ km/hr

          = 7.2 km/hr.

Question: 9

A person walks at 5 km/hr for 6 hours and at 4 km/hr for 12 hours. The average speed of the man is

(A) 2 km / hr

(B) 4 km / hr

(C) $$4{1} / {3}$$ km/hr

(D) $$4{2} / {3}$$ km/hr

Ans: C

Total distance covered = (5× 6 + 4 × 12) km

Total time taken = (6 + 12) hours = 18 hours.

∴ Average speed = $$({78}/{18})$$ km/hr = $$4{1} / {3}$$ km/hr.

Question: 10

A walks at a uniform rate of 4 km an hour and 4 hours after his start, B bicycles after him at the uniform rate of 10 km an hour. How far from the starting point will B catch A?

(A) 18.7 km

(B) 19.6 km

(C) 26.7 km

(D) 28.5 km

Ans: C

Distance covered by A in 4 hrs = (4 × 4) km = 16 km.

Relative speed of B w.r.t. A = (10 – 4) = 6 km/hr.

Time taken to cover 16 km at relative speed = $$({16} /{6})$$ hrs = $${8}/{3}$$ hrs.

Distance covered by B in $${8} / {3}$$ hrs = $$(10 × {8} / {3})$$ km = $$({80} / {3})$$ km. = 26.7 km.

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