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Question

A particle goes from A to B with a speed of 40 km/h and B to C with a speed of 60 km/h. If AB = 6BC, the average speed in km/h between A and C is ____

A
42km/h
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B
50km/h
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C
60km/h
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D
40km/h
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Solution

The correct option is A 42km/h
Gievn,
AB=6BC
Total distance, AC=AB+BC
AC=6BC+BC=7BC
From the above figure,
The time required to covered distance AB is
t1=AB40hr
t1=6BC40hr
Time required to covered distance BC is
t2=BC60hr
Total time, t=t1+t2
t=6BC40+BC60
t=0.1667BChr
Average speed, vavg=TotaltimeTotaltime
vavg=ACt
vavg=7BC0.1667BC=70.1667
vavg=41.9942km/h
The correct option is A.

1535659_1177439_ans_fcdeb346e7de4044adfdbe4a76dffa44.jpeg

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