Question

Q1.
Mr. Rohit goes to his office everyday by train and bus. During his journey he travels 40 km by bus in two hours and 60
km by train in 1 hour. He returns to his home in the same manner and covering the same distance in same time. Find
(a) the total distance covered during the whole journey
​

Answer 1

Answer:

200 km

Explanation:

As per the provided information in the given question, we have :

• Mr. Rohit travels 40 km by bus in two hours and 60 km by train in 1 hour.
• He returns to his home in the same manner and covering the same distance in same time.

We are asked to calculate total distance travelled by him.

Let say X is his home and Y is his office. When he goes to office, he travels 40 km by bus in two hours and 60 km by train in 1 hour. So, distance covered from X to Y will be given by,

$\longmapsto \rm {D_1 = (40 + 60) \; km }$

$\longmapsto \rm {D_1 = 100 \; km }$

Also, he returns to his home in the same manner and covering the same distance in same time. Distance covered by him is also same in this case when he returns from office to home. So, distance travelled from Y to X will be given by,

$\longmapsto \rm {D_2 = (40 + 60) \; km }$

$\longmapsto \rm {D_2 = 100 \; km }$

Total distance covered will be the sum of the distance covered by him from X to Y and from Y to X.

$\longmapsto \rm {D_{(Total)} = D_1 + D_2 }$

$\longmapsto \rm {D_{(Total)} =( 100 +100) \; km }$

$\longmapsto \bf {D_{(Total)} = 200 \; km }$

Therefore, total distance covered is 200 km.