1000+ Aptitude Questions and Answers for Competitive Exams - 2
Question: 6
Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds?
(A) 9 : 5
(B) 9 : 20
(C) 11 : 9
(D) 11 : 20
Ans: C
In the same time, they cover 110 km and 90 km respectively.
∴ Ratio of their speeds = 110 : 90 = 11 : 9.
Question: 7
A boy takes 20 minutes to reach the school at an average speed of 12 km/hr. If he wants to reach the school is 16 minutes, his average speed (in km/hour) should be
(A) 14
(B) 15
(C) 18
(D) 20
Ans: B
Distance travelled in 20 minutes at the rate of 12 km/hr = $$12 × {20} / {60}$$ km = 4 km
Average speed = $${4} / {16} × 60$$ km/hr = 15 km/hr.
Question: 8
A car covers a distance of 432 km at the speed of 48 km/hr. In how many hours will the car cover this distance?
(A) 6 hours
(B) 7 hours
(C) 9 hours
(D) 12 hours
Ans: C
Required time = $$({432} / {48})$$ = 9 hours.
Question: 9
A man in a train notice that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling?
(A) 55 km/hr
(B) 57 km/hr
(C) 59 km/hr
(D) 60 km/hr
Ans: D
Number of gaps between 21 telephone posts = 20.
Distance travelled in 1 minute = (50 × 20)m = 1000 m = 1 km.
∴ Speed = 60 km/hr.
Question: 10
An aeroplane flies from place A to place B at the speed of 500 km/hr. On the return journey, its speed is 700 km/hr. The average speed of the aeroplane for the entire journey is
(A) $$566{2} / {3}$$ km/hr
(B) $$583{1} / {3}$$ km/hr
(C) $$583{2} / {3}$$ km/hr
(D) 600 km/hr
Ans: B
Average speed = $$(2 × 500 × 700 / 500 + 700)$$km/hr = $$({1750} / {3})$$km/hr
= $$583{1} / {3}$$km/hr.
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