Top 100+ Time and Distance Aptitude Questions and Answers - 1

Question: 1

A train starts from station X at the rate of 60 km/hr and reaches station Y in 45 minutes. If the speed is reduced by 6 km/hr, how much more time will the train take to return from station Y to station X?

(A) 4 minutes

(B) 5 minutes

(C) 6 minutes

(D) $$7{1}/ {2}$$ minutes

Ans: B

Distance XY = $$(60 × {45}/{60})$$ km = 45 km

New speed = (60 – 6) km/hr = 54 km/hr

Time taken = $$({45} / {54} × 60)$$ min = 50 min

∴ Extra time = (50 - 45) min = 5 min.

Question: 2

An aeroplane travels distances 2500 km, 1200 km and 500 km at the rate of 500 km/hr, 400 km/hr and 250 km/hr respectively. The average speed (in km/hr) is

(A) 400

(B) 405

(C) 410

(D) 420

Ans: D

Total time taken = $$({2500} / {500} + {1200} / {400} + {500} / {250})$$ hours = 10 hours.

∴ Average speed = $$({4200} / {10})$$ km/hr = 420 km/hr.

Question: 3

Sound travels at 330 meters a second. How many kilometer away is a thunder cloud when its sound follows the flash after 10 seconds?

(A) 3

(B) 3.3

(C) 0.33

(D) 33

Ans: B

Distance = (Time × speed) = (330 × 10) m = $${330 × 10} /{1000}$$ km = 3.3 km.

Question: 4

Shiela’s house is 10 km away from the school. She takes 30 minutes to reach the school by bus. If Ram travels from his house at the same speed as that of Shiela and takes only 12 minutes to reach the school, the distance between Ram’s house and his school (in Km) is

(A) 2

(B) 4

(C) 5

(D) 6

Ans: B

Ram’s speed = $${10} / {30} × 60$$ = 20 km/hr

Time taken by Ram = 12 min = $${12} / {60}$$ hour = $${1} / {5}$$ hour

∴ Distance between Ram’s house and school = $$20 × {1} / {5}$$ = 4 km.

Question: 5

Anita and Veena are running in opposite direction. Speed of Anita and Veena is 8 km/hr and 10 km/hr respectively. Find out distance between them after $$2{1} / {2}$$ hours

(A) 30 km

(B) 36 km

(C) 40 km

(D) 45 km

Ans: D

Relative speed of Anita and Veena = (10 + 8) Km/hr = 18 km/hr

∴ Distance in $$2{1} / {2}$$ hour = $${5} / {2} × 18$$ km = 45 km.

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