The distance between the places H and Ois D units. The average speed that gets a person from H to O in a stipulated time is S units. He takes 20 minutes more time than usual if he travels at 60 km/h, and reaches 44 minutes early if he travels at 75 km h. The sum of the numerical values of D and S is:
Answers
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Given : The distance between the places H and Ois D units.
The average speed that gets a person from H to O in a stipulated time is S units.
He takes 20 minutes more time than usual if he travels at 60 km/h, and reaches 44 minutes early if he travels at 75 km h.
To Find : The sum of the numerical values of D and S
Solution:
Stipulated time = T hr
Average speed = S
D = ST
20 minutes more time than usual if he travels at 60 km/h
=> D/60 = T + 20/60
reaches 44 minutes early if he travels at 75 km h.
=> D/75 =T - 44/60
=> D/60 - D/75 = T + 20/60 - ( T - 44/60)
=> (75D - 60D)/(60 * 75) = 64/60
=> 15D / 75 = 64
=> D/5 = 64
=> D = 320
D/60 = T + 20/60
=> 320/60 = T + 20/60
=> T = 5
D = ST
=> 320 = S*5
=> S = 64
D = 320
S = 64
D + S = 320 + 64 = 384
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