100+ Problems on Time and Distance Questions for Bank Exams - 1

Question: 1

A bus is moving with a speed of 30 km/hr ahead of a car with a speed of 50 km/hr. How many kilometers apart are they if it takes 15 minutes for the car to catch up with the bus?

(A) 3 km

(B) 5 km

(C) 7.5 km

(D) 12.5 km

Ans: B

Relative speed of the car w.r.t. bus = (50 – 30) km/hr = 20 km/hr.

Required distance = Distance covered in 15 mins at
relative speed = $$(20 × {1} / {4})$$km = 5km.

Question: 2

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

(A) 1 : 3

(B) 2 : 3

(C) 3 : 2

(D) 4 : 3

Ans: B

Priya goes to school from her house = 30 minutes.

Siva goes to school from her house = 45 minutes

∴ Required ratio = 30 : 45 = 2 : 3.

Question: 3

If a man covers 10.2 km in 3 hours the distance covered by him in 5 hours is

(A) 15 km

(B) 16 km

(C) 17 km

(D) 18 km

Ans: C

Speed = $$({10.2}/{3})$$ km/hr = 3.4 km/hr

Distance covered in 5 hours : (3.4 × 5) km = 17 km.

Question: 4

Prasanna runs at 15.6 km/hr. How many meters does he run in 2 minutes?

(A) 240 m

(B) 260 m

(C) 312 m

(D) 520 m

Ans: D

Prasanna’s speed = $$(15.6 × {5} / {18})$$ m/sec = $$({13}/{3})$$ m/sec

Distance = (speed × time) = $$({13} / {3} × 2 × 60)$$ m = 520 m.

Question: 5

A man covered a distance of 180 km in 4 hours on a bike. How much distance will be cover on a bicycle in 8 hours if he rides the bicycle at one sixth the speed of the bike?

(A) 54 km

(B) 56 km

(C) 60 km

(D) 72 km

Ans: C

Speed of the bike = $$({180} / {4})$$km/hr = 45 km/hr.

Speed of the bicycle = $$({1} / {6} × 45)$$km/hr = 7.5 km/hr.

∴ Required distance = (7.5 × 8)km = 60 km.

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