If a train runs at 40kmph it reaches its destination by 11minutes late . but if it runs at 50kmph it is late by 5 minutes only . find the distance covered by the train
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Step-by-step explanation:
Let the time be T hours
When it runs at 40kmph,time=(t+11/60)hrs
Speed=40(t+11/60)
=40t+22/3
When it runs at 50kmph,time=(t+5/60)hrs
Speed=50(t+5/60)
=50t+25/6
From1 and 2
40t+22/3=50t+25/6
22/3-25/6=50t-40t
22/3-25/6=10t (lcm=6)
22x2-25x1/6=10t
44-25/6=10t
19/6=10t
10t=19/6
t=19/6x10
t=19/60
putting this in 1
Speed,=40x19/60+22/3
=2x19/3+22/3
=38/3+22/3
=38+22/3
=60/3km
=20km
Therefore speed=20km.
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