Question

(20%) problem 7: your uncle is trying to convince you join his research team at cern by offering you a summer job that pays a wage of w = 11 € (euro) per hour. the lab is d = 7.4 km from your uncle's house, where you would be staying. you know that you can bike 1 mile in t = 6 minutes. alternatively, you can borrow your uncle's car as long as you pay for gasoline. the car's gas tank has a capacity of c = 13 us gallons, and the price of gasoline is p = 1.41 €/liter.

Answer 1

Solution:

A)

Expected hourly income in $US  = rate * hourly income in Euro

= 1.2903 * 13 = $16.7739

B)

Time taken from uncle's house to lab = Distance /Speed

Distance is  8.5 km  

Speed is 1mile in 5 minutes  

 Hence converting mile in Kilometer = 1.609344 km in 5 minutes  

 distance traveled in an hour = 1.609344 *12 =19.312128

 Time = 8.5/19.312128  = 0.44013792783 hours = 26.408 minutes

 

C)

Capacity =13 US gallons  

1US gallon = 3.78541 litre

Hence 13 gallons = 13 * 3.78541

=49.21033 litres

 

D)

Gasoline = 1.41 Euro /litre

= 1.2903 * 1.41 = 1.819323 $ /litre

Hence 1 litre = 1.819323 dollar

1 gallon = 3.78541 litre  = 6.88688347743 dollar

Hence price = 6.88688347743 dollar /gallon

E)

we can travel 20 miles in 1 gallon  

= 1.609344*20 km  

capacity of tank =13 gallons  

total distance that can be traveled in 13 gallons = 1.609344*20*13 km = 418.42944 km  

days that can be traveled  = 418.42944/8.5 = 49.2269929412 days = 49 days