math

A town N is 340 km due west of town G and town K is west of town N. A helicopter Zebra left G for K at 9.00 a.m. Another helicopter Buffalo left N for K at 11.00 a.m. Helicopter Buffalo traveled at an average speed of 20 km/h faster than Zebra. If both helicopters reached K at 12.30 pm find the speed of helicopter Buffalo.

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  1. If KN=x, and Z has speed b-20
    Z flew for 3.5 hr
    B flew for 1.5 hr

    (b-20)(3.5) = 340+x
    b(1.5) = x

    (b-20)(3.5) = 340+b(1.5)
    2b = 340+70
    b = 205

    check:
    K is 307.5 KM west of N
    So, K is 647.5 km west of G
    647.5/185 = 3.5
    307.5/205 = 1.5

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