On a bright Sunday morning three friends A, B and C decided to go on river for fishing and boating. They decided
to leave for the place together in the evening. The journey was smooth, it just went as scheduled then they
reached to the river, and started to set the boat on sail. They were enjoying their ride with full speed. They
started boating from a place to another place which is at a distance of 42 km and then again returns to the
starting place. They took 20 hours in all. The time taken by them riding downstream in going 14 km is equal to
the time taken by them riding upstream in going 6 km
(i) Form the pair of linear equations in two variables from this situation.
(ii) Find the speed of the boat in still water and the speed of river.
(iii) The speed of boat in upstream is?
(iv) At what time they will reach the destination, if the speed of boat is increased by 1 km/hr and the speed of
river is decreased by 1 km/hr?
Answers
On a bright Sunday morning three friends A, B and C decided to go on river for fishing and boating. They decided
to leave for the place together in the evening. The journey was smooth, it just went as scheduled then they
reached to the river, and started to set the boat on sail. They were enjoying their ride with full speed. They
started boating from a place to another place which is at a distance of 42 km and then again returns to the
starting place. They took 20 hours in all. The time taken by them riding downstream in going 14 km is equal to
the time taken by them riding upstream in going 6 km
(i) Form the pair of linear equations in two variables from this situation.
(ii) Find the speed of the boat in still water and the speed of river.
(iii) The speed of boat in upstream is?
(iv) At what time they will reach the destination, if the speed of boat is increased by 1 km/hr and the speed of
river is decreased by 1 km/hr?