Thread: Help needed

Appreciate any help with the following especially (c)

Jane enters a two-part race.
(a) She cycles for 2 hours at a speed of (x + 8) kilometres per hour.
Write down an expression in x for the distance cycled.

(b) She then runs for 30 minutes at a speed of x kilometres per hour.
Write down an expression in x for the distance run.

(c) The total distance of the race is 46 kilometres.
Calculate Jane’s running speed.

Originally Posted by drew1000

Appreciate any help with the following especially (c)

Jane enters a two-part race.
(a) She cycles for 2 hours at a speed of (x + 8) kilometres per hour.
Write down an expression in x for the distance cycled.
=2(x+8)

(b) She then runs for 30 minutes at a speed of x kilometres per hour.
Write down an expression in x for the distance run.
=.5x

(c) The total distance of the race is 46 kilometres.
Calculate Jane’s running speed.

2(x+8)+.5x=46
2x+16+0.5x=46
2.5x=30
x=30/2.5
x=12 kilometers per hour