36. If a train runs at 40 km/h, it reaches its destination late by 11
but if it runs at 50 km/h, it is late by 5 minutes only. Find the
to be covered by the train
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Step-by-step explanation:
let the distance covered be x
let the actual time be y
case 1)
time = y +11
speed = 40
distance (x)=40(y+11)________________(1)
case 2)
time = y +5
speed = 50
distance (x) =50(y+5)_________________(2)
therefore ,
equating the distance from eq 1 & 2
50(y+5)=40(y+11)
5y +25=4y +11
y = 14
putting in eq 1
x =40(14+11)
x = 40*25
x =100km
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