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- 6. A man is walking at a speed of 6 km per hour. After every km he takes rest for 6 minutes. How much time will he take to cover a distance of 12 km.
A.3 hr
B.5 hr 42 min
C.4 hrs. 10 min
D.3 hr. 6 min
Answer & Explanation
Answer: Option D
Explanation:For 12 km he takes 11 times rest.
11 x 6 = 66 minutes rest
= 1 hr 6 min
For 12 km, 2 hr is required + rest
= 2 + 1 hr 6m = 3 hr. 6 min
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- 7. A person covers a distance in 6 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
A.18 m/s
B.4 m/s
C.15 m/s
D.10 m/s
Answer & Explanation
Answer: Option B
Explanation:T = 6 m
Spees = 12 kmph
= 12 x 5/18 = 10/3 m/s
Let new speed be "x"
6 x (10/3) = 5x
x = 4 m/s.
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- 8. If B takes 20% less time than A, to cover the same distance. What should be the speed of B, if A works at a rate of 10 km/hr?
A.12.5 km/hr
B.10 km/hr
C.15 km/hr
D.20 km/hr
Answer & Explanation
Answer: Option A
Explanation:S1 = 10 kmph
if T1 = 100
T2 = 80
10 x 100 = 80 x S2
S2 = 12.5 km/hr
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- 9. A car finishes a journey in 20 hours at the speed of 60 km/hr. If the same distance is to be covered in 10 hours, How much speed does the car gain?
A.80 kmph
B.50 kmph
C.120 kmph
D.70 kmph
Answer & Explanation
Answer: Option
Explanation:20 x 60 = 10 x S2
S2 = 120 kmph
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- 10. A person has to cover a distance of 6 km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, what should be his speed in km/hr?
A.12 km/hr
B.14 km/hr
C.10 km/hr
D.8 km/hr
Answer & Explanation
Answer: Option A
Explanation:The person needs to cover 6 km in 45 minutes
Given that he covers one-half of the distance in two-thirds of the total time
=> He covers half of 6 km in two-thirds of 45 minutes
=> He covers 3 km in 30 minutes
Hence, now heneed to cover the remaining 3 km in the remaining 15 minutes
Distance = 3 km
Time = 15 minutes = 1/4 hour
Required Speed=Distance/Time = 3/(1/4) = 12 km/hr
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