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:

Step-by-step explanation:
Given expression:

To evaluate the expression.
Solution.
The values are
Let
-----------1
Multiplying 10 both sides.
----------2
Subtracting 1 from 2.

- 
-------------------------------------------

Dividing both sides by 9.



Let 
Multiplying both sides by 100
------------3
Multiplying 1000 both sides.
----------4
Subtracting 3 from 4.

- 
-------------------------------------------

Dividing both sides by 900.


So, we can evaluate the given expression as:
⇒ 
⇒
⇒ 
Taking LCD = 900
⇒ 
⇒ 
Adding numerators.
⇒ 
⇒ 
⇒
(Answer)
Answer:
$149.66
Step-by-step explanation:
Step 1
Calculate Total Amount payable to the bank using compound interest
Total Amount payable (A) =
P(1 + r/n)^nt
P = Principal = $2000
r = Interest rate = 9% = 0.09
n = compounding interest = quarterly = 4
t = time in years = 2
Total Amount payable
= 2000(1 + 0.09/4)^0.09 × 2
A = $ 2,389.66
Interest = A - Principal
= $ 2,389.66 - $ 2,000.00
I (interest) = $ 389.66
Step 2
Calculate the Total amount payable to his uncle using simple interest.
Total Amount (A) = P(1 + rt)
P = Principal = $2000
r = Interest rate = 6% = 0.06
t = time in years = 2
A = 2000(1 + 0.06 × 2)
A = $2,240
A - Principal
= $ 2,240 - $ 2,000.
I (interest) = $240
Step 3
The amount of money you will save by borrowing the money from your uncle is calculated as:
Amount payable to the bank - Amount payable to your uncle
= $ 2,389.66 - $2,240
= $149.66
Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66
Answer:
A. 3 1/4
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.