Question

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will
arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?
(1) 11 km/hr
(2) 12 km/hr
(3) 13 km/hr
(4) 14 km/hr

Answer 1

let the distance be d and he takes t time to reach their at noon then
10 = d/ (t+1)
D = 10 t + 10 ...........eq 1
15 = d / (t-1 )
D = 15t - 15 .............eq 2
from equation 1 and equation 2 we get
15t -15= 10t +10
5 t = 25
t = 5 hours
put the value of t in equation 1 we get
D= 60 km
so speed = 60/5 = 12 km/ hour

Answer 2

Answer:

12 km/hour

Step-by-step explanation:

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