A steamer goes 65 km upstream and 91 km downstream in 26 hours. It will go 15 km upstream and 21 km downstream in 6 hrs. How much time will it take to go 95 km upstream and 133 km downstream?

Solution
Given:
A steamer goes 65 km upstream and 91 km downstream in 26 hours.
It will go 15 km upstream and 21 km downstream in 6 hours.
Concept used:
Downstream speed = Boat speed + Speed of current
Upstream speed = Boat speed – Speed of current
Calculation:
65 km upstream + 91 km downstream = 26 hours.
So, by dividing each by 13 we get,
5 km upstream + 7 km downstream = 2 hours ….(1)
By multiplying (1) no equation with 19 we get,
5 × 19 km upstream + 7 × 19 km downstream = 2 × 19 hours
⇒ 95 km upstream + 133 km downstream = 38 hours
∴ It will take 38 hours to go 95 km upstream and 133 km downstream.

📝 Additional Information:
Solve this type of question, the 2nd information (i.e., it will go 15 km upstream and 21 km downstream in 6 hours) is not required.