Time and Work

5. A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?

A)3 1/4km
B)3 1/5km
C)3 1/6km
D)3 1/2km
Answer : Option B

Explanation:
Formula = S1ŨS2/S2-S1 Ũ T1+T2/60
= 4Ũ6/2 Ũ 16/6
= 24/2 Ũ 16/60
= 8 Ũ 2/5
= 16/5 = 3 1/5 Km

6.A car takes 4 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?

A)95 kmph
B)96 kmph
C)90 kmph
D)94 kmph
Answer : Option C

Explanation:
Time = 4
Distence = 540
3/2 of 4 hours = 4 Ũ 3/2 = 6 Hours
Required speed = 540/6 = 90 Kmph

7. Avinash covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?

A)12 kmph
B)14 kmph
C)13 kmph
D)15 kmph
Answer : Option D

Explanation:
Total distance = 8 Km
Total time = 50 Km
Time taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours
Remaining distance = 8 - 3 = 5 Km
Required speed = 5/1/3 = 15 Kmph

8.A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km?

A)78.3 kmph
B)78.5 kmph
C)78.2 kmph
D)79.2 kmph
Answer : Option D

Explanation:
Formula = 2 Ũ F.S*S.P/F.S+S.P
= 2 Ũ 72 Ũ 88/88+72
= 79.2 Kmph


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