. While covering a distance of 24 km, a man noticed that after walking for 1 hour and 40 minutes the distance
5
covered by him was of the remaining distance. What was his speed in metres per second?
7
- Let the speed be x km/hr.
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Answer:
Lets take the things given first
Total distance = 24km
D covered=\dfrac{5} {7} of D left
Time walked = 1hr 40 min = 53 hr
Lets take the speed as ‘ x ’kmph
Distance covered= speed X time
Distance= x X 53 hr
Distance= 5x3 km
remaining=total- covered
=(24- 5x3 )
We know that
distance covered= 57 distance left
5x3=57(24−5x3)
5x3=57 X 72−5x3
Further equating
7x=72−5x
12x=72
x =6 kmph
x =6 x 518 m/s
x = 53 m/s
x= 1.666….. m/s✍️✍️
hope this helps you
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