A speeding boat travelled a distance of x km at a constant speed of 80km/h. An ocean liner travelled the same distance at 60 km/h. If the difference in time taken was 2 hours, find the value of the distance.
Hint:
Remember the DISTANCE formula.
D = TIME x RATE
D = T x R
Hint:
Remember the DISTANCE formula.
D = TIME x RATE
D = T x R
Answers & Comments
Verified answer
Answer:
480 km
Step-by-step explanation:
let t1 = time for the boat to travel x distance
t2 = time for the ocean liner to travel x distance
Keep in mind that the speeding boat reached the x distance faster as it travels faster than the ocean liner.
So, t1 + 2 = t2 "the difference in time taken was 2 hours"
Let's begin with "traveled the same distance" equation.
D_boat = D_liner
TR = TR
t1 (80) = t2 (60)
t1 (80) = (t1 + 2) (60)
t1 (4/3) = t1 + 2
t1 (4/3) - t1 = 2
t1 (1/3) = 2
t1 = 6 hours
t2 = t1 + 2
t2 = 6+2
t2 = 8hours
let's substitute the values back in the equations.
D_boat = TR
= 6(80) = 480 km
D_liner = TR
= 8(60) = 480 km
distance x = 480 km