a mountaineer climbed 1,000 feet at a rate of x feet per hour, he climbed and additional 5,000 feet at a different rate. this ra
te was 10 feet per hour less than twice the first rate. which expression represents the number of hours the mountaineer climbed?
2 answers:
Answer:
Step-by-step explanation:
Total time T = (distance 1)/ (speed 1) + (distance 2)/ ( speed 2)
Distance covered by the mountaineer = 1000 feet
Speed of climbing = x feet per hour
Time taken will be =
Additional distance covered by him = 5000 feet
Speed to cover this distance = or
So, total time T =
T =
A mountaineer climbed 1000 feet at a rate of x feet/hour
1000 = x ( t 1 ) eq1
5000 = X ( t 2) eq2 ( he climbed additional at different rate )
the rate was 10 feet / hour less than twice the first rate
X = 2x - 10 eq3
take eq1 and eq 2
( total time = t 1 + t 2 = T)
T = 1000/x + 5000/X
but X = 2x-10
T = 1000/x + 5000/( 2x -10)
T = 1000/x + 5000/( 2(x-5))
T = 1000/x + 2500 / (x-5)
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