SOLUTION: 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

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 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      Log On

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Question 987181: 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 ran.
(C) the total distance of the race is 46 kilometres. Calculate Jane's running speed.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
(A) Distance cycled=(2hr)(x+8 km/hr)=2x+16 km
.
(B) Distance ran=(0.5hr)(x km/hr)=0.5x km
.
(C) x=running speed
.
Distance cycled + Distance ran = Total distance
(2x+16 km)+ (0.5x km) = 46 km
2.5x+16=46km
2.5x=30km
x=12 km/hr
.
ANSWER: Jane's running speed was 12 km/hr.