Problema Solution

2 biker start moving towards each other when they were 300km away. speed of 1st is 7km/hr more than 2nd. distance b/w them after 2hr is 34km. find their speed?

Answer provided by our tutors

let


x = the speed of the first biker

y = the speed of the second biker


300 km the start distance between them


speed of 1st is 7km/hr more than 2nd


x = y +7


after t = 2 h


the distance between them = the start distance between them - (the km of the 1st + the km of the 2nd)


and by using the formula distance = speed * time we can write


34 = 300 - (2*x + 2*y)


by solving the system of equations


x = y +7

300 - (2*x + 2*y) = 34


we find


x = 70 km/h


y = 63 km/h


the speed of the 1st is 70 km/h.

the speed of the 2nd is 63 km/h.