Question

29. Po Ling can bicycle 75 mi in the same time it takes her to drive 165 mi. If her driving rate is 30 mi/h faster than her rate on the bicycle, find each rate. 30. A private plane and a commercial plane take off from an airport at the same time for a city 720 mi away. The rate of the private plane is 180 mi/h less than that of the commercial plane. If the commercial plane arrives 2 h ahead of the private plane, find each plane's rate.

Answer 1

put 29 Po Ling brands 75 mi in the germe bine to drive 165 mi. it takes her her dreiving rate is than her rabe CO 30 milu faster the they bicycle Let the driving rate of po ling is (s)mi then her bicycling rate will be (S-30) mi مما Let the book (t) howe in bicycling 75 mi and deriving 165 mi ule have the formula distamee time time distance speed Speed Cranes Both the times are equal then equating both 165 75 S S-30 165/5-30) 755 165 S 4950 75 S gs 4950 S 550 mi Hence duiving rate is 550 min bicycling rate is 550 - 30 - 520 mily &

Pub 30 aimport at the A puivate & commercial plane take off from an same time for city 720 mi away. Let the rate of the private plane is P and the commercial plane is c C- 180 Let commercial plane takes t hown to reach them private plane will take (t+2) hour reach 72omi p = 720 mi. Rate of the private plane P 720 t+2 C-180 .. 720 t+2 (c = 180) (t+2) = 720 ct +26-180t-360=720 ac - 180t + et 1080 Rate of the commercial plane 720 t ct =720 putting the values of e and it in equo 2x720 + 18ot+720 =1080

= 0 0 =o =0 14 40 180 t = 360 t 180 8 - + 2 2t +2+27-8 +²+4t-et-8 tettu)-attu) 0 (ttu) (t-2) t - 2 t=2 tty =o +=-4 cimpossible) + Rate of commercial plane 720 - 360 milw 2 Rate of private plane P s 720 180 milu Ans 2+2 & hi