# Help needed

• Jan 20th 2009, 07:50 AM
drew1000
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.
• Jan 20th 2009, 08:04 AM
princess_21
Quote:

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
:)