A baker can decorate the days cookie supply four times as fa

A baker can decorate the day\'s cookie supply four times as fast as his new assistant. if they decorate all the cookies working together in 36 minutes, how long would it take for each of them to decorate the cookies working individually?

A car travels 400 miles on level terrain in the same amount of time it travels 160 miles on mountainous terrain. if the rate of the car is 30 mph less on mountain than level, find rate in mountain.

Solution

1) let baker does the work in x minutes

then assistant will do the work in 4x minutes

hence, bakers 1 minute work = 1/x

assistants 1 minute work = 1/4x

1 / x + 1/ 4x = 1 / 36

4/ 4x + 1 / 4x = 1/36

5 / 4x = 1 / 36

36*5 = 4x

x = 45

therefore, baker can decorate the cake in 45 minutes and assistant can decorate teh cake in 180 minutes