Mr. Wu rides his bike at 6 mph to the bus station. He then rides the bus to work, averaging 30 mph. If he spends 20 minutes less time on bus than on the bike, and the
distance from his house to work is 26 miles, what is the distance from
his house to bus station?

Fill out the information in the table for your convenience. Write the
equation. Solve. Show your work. Check your work

26 mi

Step-by-step explanation:

Convert 20 min to hrs: 20/60 = 1/3 hr

:

Let t = time on the bike

then

t-(1/3) = time on the bus

:

Write a dist equation Dist = speed * time:

:

Bike dist + bus dist = 26 mi

6t + 30[t-(1/3)] = 26

:

6t + 30t - 10 = 26

36t = 26 + 10

36t = 36

t = 1 hr on the bike

:

6 mph for 1 h = 6 mi from house to the bus station

:

:

Check solution by finding the distance

6(1) + 30(2/3) =

6 + 20 = 26 mi

sorry i dont know my friend

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions