every morning sharad starts to leave his home for office at 8:20am on bicycle.if he travels at a speed of 10 km/hr then he reach his office late by 8minutes. but on travelling at 16 km/hr he reaches the school 10 minutes early.at what time does the office starts?
Answers
9:00 AM is the time for office to start
Step-by-step explanation:
Let say Distance of office = D km
Let say Time taken to Reach office at time = T min
Time of office start = 8:20 AM + T mins
if he travels at a speed of 10 km/hr then he reach his office late by 8minutes
=> D/10 = (T + 8)/60
=> 6D = T + 8 Eq1
if he travels at a speed of 16 km/hr then he reach his office 10 minutes early
=> D/16 = (T - 10)/60
=> 60D = 16(T - 10)
=> 15D = 4(T - 10)
=> 15D = 4T - 40 Eq2
5 * eq1 => 30D = 5T + 40
2* Eq2 => 30D = 8T - 80
=> 8T - 80 = 5T + 40
=> 3T = 120
=> T = 40
Time at which office starts = 8:20 AM + 40 mins = 9:00 AM
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