Given:
A man walks for x hours at a speed of (x + 1) km/h and cycles for (x - 1) hours at a speed of (2x + 5) km/h.
Total distance travelled is 90 km.
To find:
The value of x.
Solution:
We know that,


A man walks for x hours at a speed of (x + 1) km/h, so walking distance is
km
The man cycles for (x - 1) hours at a speed of (2x + 5) km/h, so the cycling distance is
km
Now,
Total distance = 90 km









Time cannot be negative. So, the only possible value of x is 5.
Answer:
Option B.
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Answer:
DBC = 75
Step-by-step explanation:
ABD and DBC are supplementary angles. They add to 180 degrees.
ABD + DBC = 180
105 + DBC = 180
Subtract 105 from each side
105-105 + DBC = 180-105
DBC = 75