Question

Two people started rowing in a river of still water simultaneously from points p and q towards each other. At a moment, the person who started from p had covered (1/4)th of the way, the other person was 2 km short of reaching the mid-point. It is also known that when the person who started from q had covered (2/3)rd of the way, the other person had covered 1 km less than half the total distance. Determine the approximate ratio of their velocities, if the two-person row at their constant speeds and the distance is greater than 15 km.

Answer 1

let speed of them are x & y.

1/4 of D = 15/4 = 3.75 km

when P travel 3.75 km in some time , Q travel (7.5-2 = 5.5km) in same time ,

A/q,

3.75/x = 5.5/y

x/y = 3.75/5.5 = 15/22 = 15x/22y -------(1)

in second part when Q covered 2/3 Rd way ( = 10km)

other covered 1 less than half = 6.5 km

so,

x/y = 6.5/10 = 13/20 --------(2)

from (1) & (2)

15x/22y = 13/20

x/y = 13*11/15*10 = 143/150 (Ans.)

Answer 2

Answer:

143/150

Explanation:

let speed be X and y

1/4 of P= 15/4=3.75km

when P travel 3.75km in some time ,Q travel (7.5-2=5.5km) in some

a/q

3.75/X=5.5/y

X/Y=3.75/5.5=15/22=15x/22y......(1)

in second part when a covered 2/3 Rd way (=10km) way (=10km) other covered 1 less than half =6.5 km

so,

X/Y=6.5=13/20......(2)

from (1) and (2)

15x/22y=13/20

X/Y=13*11/15*10=143/150 Ans....