A certain CEO drove from his home to a helipad at an average rate of 5

Question

A certain CEO drove from his home to a helipad at an average rate of 50 miles per hour and then boarded a helicopter, which traveled at an average speed of 80 miles per hour, to his office building. If it took the CEO 1.5 hours to reach his office building from home and he spent 4 times as long driving as he did flying, what is the distance from his home to his office building?

A. 84
B. 75
C. 72
D. 60
E. 18

A. 84
B. 75
C. 72
D. 60
E. 18

quantumliner · Answer

Home ---50mph-----> Helipad ---80mph---> Office building

Home ----------1.5hrs----------------> Office building

Home ---4T--------> Helipad -----T-----> Office building

5T = 1.5 hrs
 T = 0.3 hrs

Home ---1.2hrs----> Helipad -----0.3hrs-> Office building
 
 Home ---50*1.2 miles-----> Helipad ---80*0.3 miles---> Office building
 
Distance from his home to his office building = 60+24 = 84 miles

Answer is A. 84

rohit8865 · Answer

total time =1.5 hrs = 90 minutes
let time taken to cover helipad to office=x minutes
then time taken from home to helipad =4x
thus 4x+x=90
5x=90
x=18minutes 
4x =72 mnutes

distance = speed*time
distance of home to helipad = 50*72/60 = 60miles
distance of helipad to office = 80*18/60 = 24miles
thus total distance = 60+24=84miles

Ans A

ScottTargetTestPrep · Answer

We are given that a CEO traveled at a rate of 50 mph when driving and then 80 mph when traveling in a helicopter. Since he traveled for 4 times as long when driving as he did when riding in the helicopter, we can let the time flying = t and the time driving = 4t. Since he spend a total of 1.5 hours traveling, we can create the following equation to determine t:

t + 4t = 1.5

5t = 1.5

t = 1.5/5 = 0.3

Thus, the flying time is 0.3 hour and the driving time 4 x 0.3 = 1.2 hours. Finally, the distance he drove was 50 x 1.2 = 60 miles and the distance he flew was 80 x 0.3 = 24 miles.

So, the total distance is 60 + 24 = 84 miles.

Answer: A

adityapareshshah · Answer

Solution: Total travel time = 1.5 hours Total driving time = 4 * total flying time. So Driving time = 4/%*1.5=1.2 hours Flying time = 0.3 hour Total distance covered = 1.2 * 50 + 0.3* 80( Speeds of flying and driving given in the question) = 84 miles Hence Answer =A. Please Kudos to thank :-D

RR88 · Answer

Option A

Given: Time taken while driving = 4*Time taken while flying: T = 4t
Total time taken = 4t + t =1.5 hours
t = 0.3 hours

Distance driven = 50*4*0.3 = 60 miles
Distance flown = 80*0.3 = 24 miles

Total = 60 + 24 = 84 miles

bumpbot · Answer

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A certain CEO drove from his home to a helipad at an average rate of 5

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