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- 11. A truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes. What is the ratio of their speed?
A.
3 : 7
B.
4 : 7
C.
1 : 4
D.
3 : 4
Answer & Explanation
Answer: Option D
Explanation:Speed of the truck = Distance/Time=550/1=550 meters/minute
Speed of the train = Distance/Time=33/45 km/minute = 33000/45 meters/minut
Speed of the truck/Speed of the train = 550/(33000/45) = (550 × 45)/33000 = (55 × 45)/3300
= (11 × 45)/660 = (11×9)/132 = 9/12 = 34
Hence, Speed of the truck : Speed of the train = 3 : 4
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- 12. A man in a train notices that he can count 21 telephone posts in one minute. If they are known to be 50 metres apart, at what speed is the train travelling?
A.61 km/hr
B.60 km/hr
C.56 km/hr
D.63 km/hr
Answer & Explanation
Answer: Option B
Explanation:The man in the train notices that he can count 21 telephone posts in one minute.
Number of gaps between 21 posts are 20 and Two posts are 50 metres apart.
It means 20 x 50 meters are covered in 1 minute.
Distance = 20×50 meter = (20×50)/1000 km = 1 km
Time = 1 minute = 1/60hour
Speed = Distance/Time=1(1/60) = 60 km/hr
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- 13. A person travels from A to B at a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
A.48 km/hr
B.56 km/hr
C.60 km/hr
D.52 km/hr
Answer & Explanation
Answer: Option A
Explanation:Method : 1
If a car covers a certain distance atxkmph and an equal distance at y kmph,
the average speed of the whole journey = 2xy/x+y kmph.
By using the same formula, we can find out the average speed quickly
Speed with which he travels from A to B = x = 40 km/hr
Speed with which he travels from B to A = x = 40×(100+50)/100 = 60 km/hr
average speed = (2×40×60)/(40+60) = 48 km/hr
Assume that distance from A to B = x km Speed with which he travels from A to B = x = 40 km/hr Time to travel from A to B = distance/speed = x/40 hr Speed with which he travels from B to A = 40×(100+50)/100 = 60 km/hr Time to travel from B to A = distance/speed = x/60 Total distance traveled = x+x = 2x Total time taken = x/40 + x/60 Average speed = Total distance traveled/Total time taken = 2x/(x/44)+(x/60) = 2/[(1/60)+(1/40)] = (2×2400)/(40+60) = 2×24 = 48 km/hr
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- 14. A train travelled at an average speed of 100 km/hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point?
A.5 hrs 22 min
B.6 hrs 21 min
C.7 hrs 14 min
D.6 hrs
Answer & Explanation
Answer: Option B
Explanation:Time taken to travel 600 km = Distance/Speed =600/100 = 6 hour
Now we need to find out the number of stops in the 600 km travel.
Given that train stops after every 75 km.
600/75 = 8
It means train stops 7 times before 600 km and 1 time just after 600 km. Hence we need to take only 7 stops into consideration for the 600 km travel. Hence, total stopping time in the 600 km travel = 7 x 3 = 21 minutes Total time needed to reach the destination = 6 hours + 21 minutes = 6 hrs 21 min
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- 15. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. What is the length of the bridge (in metres)?
A.1250
B.1280
C.1320
D.1340
Answer & Explanation
Answer: Option A
Explanation:Speed = 5 km/hr
Time = 15 minutes = 1/4 hour
Length of the bridge = Distance Travelled by the man = Speed × Time = 5×1/4 km
= 5 × 1/4 × 1000 metre=1250 metre
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