Question

every morning Sharad has to leave his home for office at 8:50am on bicycle. If he travels at a speed of 10km/hr, then he reaches his office late by 8 minutes but on traveling at 16km/hr he reaches the school 10 minutes early. At what time does the office starts? ​

Answer 1

Answer:6 o clock starting time

Step-by-step explanation:

Answer 2

The office starts at 9 : 30 A.M.

Step-by-step explanation:

Let Sharad's home and his office is d km distant.

So, ff he travels at a speed of 10 km/hr, then he reaches his office late by 8 minutes but on traveling at 16 km/hr he reaches the school 10 minutes early.

So, we can write the equation as

$\frac{d}{10} - \frac{d}{16} = \frac{8 + 10}{60} = 0.3$

⇒ 0.0375d = 0.3

⇒ d = 8 km.

Now, Sharad reaches office in $\frac{8}{10} = 0.8$ hours i.e. 48 minutes traveling at the speed of 10 km/hr and he was late by 8 minutes.

So, the office starts at 8 : 50 A.M. + (48 - 8) minutes = 9:30 A.M. (Answer)