A man travels 3/8 of his journey by train 3/5 of it by bus and walks the rest of the distance.If he walks 2 km. How much distance did he travel by bus.

rest of distance

= 1 - (3/8 + 3/5)
= 1 - 39/40
= 1/40

(1/40)x = 2
x = 80 km

so he went (3/5)(80) km by bus
= .....

This is not correct ans.

To find out how much distance the man traveled by bus, we need to first calculate the total distance of his journey.

Let's assume the total distance of his journey is D km.

According to the information given, the man traveled 3/8 of his journey by train and 3/5 of it by bus. Therefore, the remaining part of his journey, which he walked, is 1 - (3/8 + 3/5) = 1 - (15/40 + 24/40) = 1 - 39/40 = 1/40 of the total distance.

We know that the distance he walked is 2 km, which represents 1/40 of the total distance.

Therefore, we can set up the following equation to find the total distance:
(1/40) * D = 2

To solve for D, we can multiply both sides of the equation by 40:
D = 2 * 40
D = 80

Now that we know the total distance of his journey is 80 km, we can calculate the distance he traveled by bus. According to the information given, he traveled 3/5 of his journey by bus:
Distance traveled by bus = (3/5) * 80
Distance traveled by bus = 48 km

So, the man traveled 48 km by bus.