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## Problem solving

1. A plane whose air speed is 150 mi/h flew from Abbot to Blair in 2 h with a tail wind. On the return trip against the same wind, the plane was still 60 mi from Abbot after two hours. Find the wind speed and the distance between Abbot and Blair.

w = wind speed
d = distance between Abbot and Blair

w = 90 d = 60

2. While training for a biathlon race, Kevin covered a total distance of 9 km by swimming for 45 min and running for 20 min. The next day he swam for 30 min and ran for 40 min, covering 14 km. Find his rates (in km/h) for swimming and running (assume that these rates are constant).

Please help me, I couldn't figure it out how to solve these problems. Thank you. I really appreciate it.

Arleen
On 10/10/2003 3:52:42 AM, sk8erpinay wrote:
>1. A plane whose air speed is
>150 mi/h flew from Abbot to
>Blair in 2 h with a tail wind.
>On the return trip against the
>same wind, the plane was still
>60 mi from Abbot after two
>hours. Find the wind speed and
>the distance between Abbot and
>Blair.
>

Let the distance between the towns d, and the tail wind w. Then in one direction:

2(150+w)=d and in the opposite:
2(150-w)=d-60

solve for w and d

TTFN,
Eden
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