Question

Every morning Sharad starts has to leave his home for office at 8:20 am on bicycle.
he travels at a speed of 10 km/hr, then he reaches his office late by 8 minutes but on travelling at 16km/hr he reaches the office l0 minutes early. At what time does the office starts?
..
.
.
.
.
...
.
..
..
.
.
.
..
.
.
.
..
.
.
.
.
..
.
.
.
.
.
.
.​

Answer 1

Answer:

His office starts at 9:00 am.

Step-by-step explanation:

Sharad leaves his home for office every morning = 8:20 am

Let the distance between home to office = d km

Let the time taken by Sharad to reach the office = t min.

Given he travels at a speed of 10 km/hr, then he reaches his office late by 8 minutes.

$=\frac{d}{10}=t+\frac{8}{60}$

$=\frac{d}{10}=t+\frac{2}{15}$  -----------(1)

Given he travels at a speed of 16 km/hr, then he reaches his office early by 10 minutes.

$=\frac{d}{16}=t-\frac{10}{60}$

$=\frac{d}{16}=t-\frac{1}{6}$  ------------(2)

Solve equation (1) and (2)

=$\frac{d}{10}- \frac{d}{16}=\frac{2}{15} + \frac{1}{6}$

$=\frac{3d}{80} =\frac{9}{30}$

$d=\frac{9\times80}{3\times 30}$

$d=\frac{720}{90}$

d = 8 km. ------(3)

Now replace equation (3) in equation (2)

$\frac{8}{16}=t-\frac{1}{6}$

$t-\frac{1}{6}=\frac{8}{16}$

$t-\frac{1}{6}=\frac{1}{2}$

$t=\frac{1}{2}+\frac{1}{6}$

$t=\frac{2}{3}$  hours

convert hours to minutes

= $\frac{2}{3}\times 60$

= 40 minutes

Sharad starts at 8:20 am + 40 minutes = 9:00 am.

His office starts at 9:00 am.

Learn more a different way of answer : https://brainly.in/question/14146464

Answer 2

Answer:

Hello Good morning ☺️

Have a nice day ahead ☺️☺️

Step-by-step explanation:

please mark me as brainlist