A bus covers 1890 km in 31 1/2 hours at a certain speed . How many km will it cover in 18 hours at the same speed? Also find the time, the bus needs to travel 600 km.
Answers
Answered by
0
Answer:
360
Step-by-step explanation:
Let the distance covered be d.
Let the usual speed of the bus be s and usual time taken be t
(s+15)(t-2) = d ...(i)
(s-5)(t+1) = d....(ii)
st = d....(iii)
Therefore,
From (i) and (ii)
(s+ 15)(t - 2) = (s - 5)(t + 1)
st - 2s + 15t - 30 = st + s - 5t - 5
20t - 25 = 3s....(iv)
From (i) and (iii)
(s+15)(t-2) = st
st - 2s - 30 + 15t = st
2s - 15t + 30 = 0....(v)
Now, equate the time 't' from (iv) and (v)
20
3s+25
=
15
2s+30
45s + 375 = 40s + 600
5s = 225
s = 45
Thus, t =
20
3×45+25
= 8 hr
Thus, distance= 45×8 = 360 km
Answered by
0
Answer:
1080 km , 10 hrs so right answer
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