100+ Speed, Time and Distance Questions and Answers Pdf - 1
Question: 1
Suriya rides her bike at an average speed of 30 km/hr and reaches her destination in 6 hours. Suganya covers the same distance in 4 hours. If Suriya increases her average speed by 10 km/hr and Suganya increases her average speed by 5 km/hr, what would be the difference in their time taken to reach the destination?
(A) 40 minutes
(B) 42 minutes
(C) 47 minutes
(D) 54 minutes
Ans: D
Suriya’s original speed = 30 km/hr.
Suriya’s new speed = (30 + 10) km/hr = 40 km/hr.
Distance = (30 × 6) km = 180 km.
Suganya’s original speed = $$({180} / {4})$$km/hr = 45 km/hr.
Suganya’s new speed = (45 + 5) km/hr = 50 km/hr.
Difference in time = $$({180} / {40} – {180} /{50})$$hrs
= $${9}/{10}$$ hrs = $$({9}/{10} × 60)$$min = 54 min.
Question: 2
A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same distance will be
(A) 10 min
(B) 13 min
(C) 13 min 20 sec
(D) 14 min
Ans: C
Speed = $$(10 × {60}/{12})$$km/hr = 50 km/hr.
New speed = (50 – 5) km/hr = 45 km/hr.
∴ Time taken = $$({10}/{45})$$ hr
= $$({2}/{9} × 60)$$ min = $$13{1}/{3}$$min. = 13 min 20 sec.
Question: 3
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately.
(A) 10.4 km/hr
(B) 10.8 km/hr
(C) 11 km/hr
(D) 12.2 km/hr
Ans: B
Total distance travelled = (10 + 12) km/hr = 22 km/hr.
Total time taken = $$({10}/{12} + {12}/{10})$$ hrs = $${61}/{30}$$ hrs.
∴ Average speed = $$(22 × {30}/{61})$$ km/hr = 10.8 km/hr.
Question: 4
An athlete claimed that his timing for a 100 m dash should be corrected because the starting signal was given by a gun fired from a point 10 m away from him and the timekeeper was standing close to the gun. The error due to this could be (in seconds).
(A) 0.3
(B) 0.03
(C) 0.5
(D) 0.7
Ans: B
Error = Time taken to cover 10 m at 300 m/sec
= $$({10} / {300})$$ sec = $${1}/{30}$$ sec = 0.03.
Question: 5
A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the speed of 10 km/hr and 11 km/hr respectively. What is the distance between them after 6 minutes?
(A) 90 m
(B) 100 m
(C) 110 m
(D) 120 m
Ans: B
Speed of thief = 10 km/hr
Speed of policeman = 11 km/hr
Relative speed of policeman with respect to thief = (11 – 10) km/hr
= 1 km/hr
Thief is noticed by a policeman from a distance of 200 m.
Distance covered in 6 minutes $${1000} / {60} × 6$$ = 100 m.
Distance between them after 6 minutes = 200 – 100 = 100 m.
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