A pedestrian and a cyclist left A for B at the same
time. Having reached B, the cyclist turned back and
met the pedestrian an hour after the start. After their
meeting, the pedestrian continued his trip to B and
the cyclist turned back and also headed for B. Having
reached B the cyclist turned back again and met the
pedestrian 30 mins after their first meeting.
Determine what time it takes the pedestrian to cover
the distance between A and B.
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Step-by-step explanation:
Given A pedestrian and a cyclist left A for B at the same time. Having reached B, the cyclist turned back and met the pedestrian an hour after the start. After their meeting, the pedestrian continued his trip to B and the cyclist turned back and also headed for B. Having reached B the cyclist turned back again and met the pedestrian 30 mins after their first meeting. Determine what time it takes the pedestrian to cover the distance between A and B.
- Let the speed of the pedestrian and cyclist be m and n respectively. Also let the distance between A and B be p.
- So we need to find the time, so p/m
- A and B meet for the first time and the total distance covered by them will be 2p
- Therefore m + n = 2p ---------1
- Also after 30 min or half an hour distance covered will be half the speed.
- So we have 2 (p – m) = n/2 + m/2
- Or 2 (p -m) = m + n / 2
- Or 4 (p – m) = m + n --------2
- So using 1 and 2 we have
- So m + n = 2p
- So m + n = 4(p – m)
- So 2p = 4p – 4m
- So – 2p = - 4m
- So p = - 4m / - 2
- So p = 2m
- Or p/m = 2 hours
Reference link will be
https://brainly.in/question/13403383
Answered by
0
Answer:
p/m=2hours hope it helps you
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