SOLUTION: During the COVID 19 pandemic, Jerry, a front liner nurse, decided to use his bicycle since it was difficult for him to ride jeepneys in going to his work station. If he biked 5kilo

Question 1173083: During the COVID 19 pandemic, Jerry, a front liner nurse, decided to use his bicycle since it was difficult for him to ride jeepneys in going to his work station. If he biked 5kilometers from his house to the hospital at a rate of x kph. For his return trip in going home, his rate was 1kph faster. It took him 2.5hours for the entire round trip. Find his rate and time in going to the hospital.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
speed*time=distance
x *y=5, where x is speed in km/h and y is time in hours
on way back it ix (x+1)*(2.5-y)=5
since the two equations are equal to 5, they are equal to each other
so xy=2.5x-xy+2.5-y or 5=2.5x-5+2.5-y, or 7.5=2.5x-y
x=(5/y)
so 7.5=2.5*(5/y)-y
7.5=(12.5/y)-y
y^2+7.5y-12.5=0
or 2y^2+15y-25=0
y=(1/4)(-15+/- sqrt(225+200)) sqrt(425)=20.62
so y=5.62/4=1.405 hr.only positive root
x=3.559 km/h for 1.405 hr. This is the answer,
on way back it was 4.559 km/h for 1.096 hr.

RELATED QUESTIONS
There is a Covid - 19 Pandemic in the world. This appeared in Ghana and affected 5... (answered by Alan3354,ikleyn)

During the COVID 19 Pandemic, Jose and Clara volunteered to help in the repacking of... (answered by greenestamps)

During the COVID 19 Pandemic, Jose and Clara volunteered to help in the repacking of... (answered by math_tutor2020,greenestamps,ikleyn)

A hypothesis test is to be performed. State the null and alternative hypotheses.... (answered by Boreal)

Jerry, walking 3 miles per hour, started twoard his aunt's house 12 miles away. One-half (answered by checkley71)

Jack decided to ride his bicycle across the country during his 3-month summer vacation.... (answered by Theo)

Jacob decided to ride his bicycle across the country during his 3-month summer vacation. (answered by Boreal)

It took Jerry 6 hr to ride his bicycle 30 mi against the wind, but took him only 2 hr to... (answered by bucky)