If a train runs at 40 kmph, it reaches its destination
late by 11 minutes but if it runs at 50 kmph, it is late
by 5 minutes only. The correct time for the train to
complete its jouney is
Answers
Answer:
If it runs at 40 km per hour , it reaches late by 11 minutes , i.e., it takes 19+11 = 30 minutes which means 30/60 = 1/2 hour .
Step-by-step explanation:
Let the normal time be ‘t’ hours to reach the destination at a distance of ‘x’ km
If the train runs at 40 km/hr it reaches the destination , the train is late by 11 minutes , i.e late by 11/60 hours, Ot it takes t + 11/60 hours. Then
Distance = Speed x time
i . e x = 40 *(t+11/60) ……….(1)
Again when the train runs at a speed of 50 km/he , it reaches 5 minutes late. So we have the following equation as well
i.e. x = 50 * ( t+ 5/60) …………. (2)
Equating equation (1) and (2), now we have this expression
40*(t+11/60) = 50(t+5/60)
4(t+11/60) = 5(t+5/60)
4t + 11/15 = 5t + 5/12
t = 11/15 - 5/12
t = (132 - 75)/180
t = 57/180
t = (57/180)*60 minutes
t = 19 minutes
If it runs at 40 km per hour , it reaches late by 11 minutes , i.e., it takes 19+11 = 30 minutes which means 30/60 = 1/2 hour .
Therefore x = 40*(1/2 )= 20 kms
Hence normal speed is 20/(19/60) = 63.15789 km/hr
Hence at a speed of 63.15789 km/hr, the train will reach the destination in 19 minutes
( at 40 km/hr the train will reach in 19+11 = 30 minutes , and at 50km/hr , the train will reach in 19+5 = 24 minutes)
Answer:
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