~~ Phoebe spends 2 hours training for an upcoming race She runs full speed at 8 miles per hour - Maths - Simple Equations

Question

~~ Phoebe spends 2 hours training for an upcoming race She runs
full speed at 8 miles per hour for the race distance; then she
walks back to her starting point at 2 miles per hour How long does
she spend walking? How long does she spend running?

Tanveer Sofi · Accepted Answer

Let  Phoebe spends time t1 hours  running, then the distance covered by her whilerunning=8×t1 miles                               Distance=speed×timeAlso, let she spends time t2  hours walking, then the distance covered by her while walking=2×t2 miles                                distance=speed×timeSince, the distance covered while running will be equal to the distance covered while walking, therefore2×t2=8×t1⇒t2=4×t1         
1                         Dividing both sides by 2Also, the total time spent in the training is 2 hours, thent1+t2=2Substituiting, t2=4t1  from equation 1, we gett1+4t1=2⇒5t1=2Dividing both sides by 5, we gett1=25=0
4  hoursFrom equation 1, we gett2=4×t1=4×0
4=1
6 hoursHence, the time spent running, t1=0
4 hoursand the time spent walking, t2=1
6  hours

~~ Phoebe spends 2 hours training for an upcoming race. She runs full speed at 8 miles per hour for the race distance; then she walks back to her starting point at 2 miles per hour. How long does she spend walking? How long does she spend running?