A boat goes 30 km downstream in 3 hours and the same 30 km upstream in 5 hours. Let the speed of the boat in still water be x km/h and the speed of the stream be y km/h. Find x (the speed of the boat in still water).

Question

Accepted Answer

8 km/h. Downstream: x + y = 30/3 = 10. Upstream: x - y = 30/5 = 6. Adding: 2x = 16, x = 8.

A boat goes 30 km downstream in 3 hours and the same 30 km upstream in 5 hours.
Let the speed of the boat in still water be $x$ km/h and the speed of the stream be $y$ km/h.
Find $x$ (the speed of the boat in still water).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Word Problems on Linear Pairs practice

A boat goes 30 km downstream in 3 hours and the same 30 km upstream in 5 hours.Let the speed of the boat in still water be x km/h and the speed of the stream be y km/h.Find x (the speed of the boat in still water).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Word Problems on Linear Pairs practice

A boat goes 30 km downstream in 3 hours and the same 30 km upstream in 5 hours.
Let the speed of the boat in still water be $x$ km/h and the speed of the stream be $y$ km/h.
Find $x$ (the speed of the boat in still water).