Toni and Adoke are keen cyclists. yobo cycles (x-45)km from surulere to sagamu in 3 hours.Adoki cycles (x+15)km from sagamu to ife in 7hours.answer the following questions:write down yobo’s speed,write down adoki’s speed,form an equation in x,solve the equation you formed in (c)above,what is the distance between surulere and sagamu?what is the distance between sagamu and ife?

1 answer

To find Yobo's speed, we divide the distance (x-45)km by the time taken, 3 hours:
Yobo's speed = (x-45) / 3 km/h.

To find Adoki's speed, we divide the distance (x+15)km by the time taken, 7 hours:
Adoki's speed = (x+15) / 7 km/h.

The equation using the information from parts a and b would be:
Yobo's speed = Adoki's speed.

Setting the two equations equal to each other:
(x-45) / 3 = (x+15) / 7.

To solve the equation above, we cross-multiply and solve for x:
7(x-45) = 3(x+15)
7x - 315 = 3x + 45
4x = 360
x = 90.

The distance between Surulere and Sagamu is given by x-45, so (90-45) km = 45 km.

The distance between Sagamu and Ife is given by x+15, so (90+15) km = 105 km.