Harry and Jimmy cycled from Town A to Town B at 15 km/h and 12km/hrespectively. They both started from Town A at 10.00 a.m. If Jimmyreached Town B at 10.30 a.m., what time did Harry reach Town B?

Respuesta :

First, find the distance between Town A and Town B using the fact that Jimmy, traveling at 12km/h, reached town B in half an hour.

Then, divide the distance between Town A and Town B by Harry's velocity of 15km/h to find the time that it took for Harry to reach Town B.

Since Jimmy reached Town B in half an hour with a speed of 12km/h, the distance between Town A and Town B is:

[tex]d=(12\frac{km}{h})\times(\frac{1}{2}h)=6km[/tex]

Since Harry travels at 15km/h, the time that it takes for Harry to reach Town B is:

[tex]t=\frac{6km}{15\frac{km}{h}}=\frac{2}{5}h[/tex]

Since 1h=60m, the time that it takes for Harry to reach Town B in minutes, is:

[tex]\frac{2}{5}\times60m=24m[/tex]

Since they both started from town A at 10:00am, then Harry reaches Town B at 10:24 a.m.