Their speeds are ' s ' and ' s+7 ' .
Since Joon is decreasing the size of the distance between them from one end,
and Gerace is decreasing it from the other end, the distance between them is
shrinking, and they meet when the SUM of their distances is 174 miles.
The sum of their speeds is (s) + (s+7) = (2s+7) m/h
They meet after driving for 2 hours, so
(2h) x (2s+7) m/h = 174 miles
Eliminate the parentheses: (4s + 14) = 174
Subtract 14 from each side: 4s = 160
Divide each side by 4 : s = 40
Their speeds are <em>40 mph </em>and <em>47 mph</em> .
<u>Check: </u>
40 mph for 2 hours = 80 miles
47 mph for 2 hours = 94 miles
80 + 94 = 174 miles yay !
3 + 2 = 5
<span>80p / 5 = 16p </span>
<span>1st part = 2(16p) = 32p </span>
<span>2nd part = 3(16p) = 48p </span>
<span>48p : 32p :: 3 : 2 </span>
Answer:
1/2
Step-by-step explanation:
it's positive so its absolute value is the same just like a positive whole number
note: the absolute value of a negative fraction is tricky, but that's not important here
The answer is that 80 people will build the same road in 160 days.
Given that 50 people take 256 days to build a road.
And we need to find out how many days will 80 people take to build the same road.
Disclaimer: Assuming that the work done by all the people are same.
If the number of people increases, the time taken to build the road decreases in the same proportion. Clearly, the number of people varies inversely to the number of days.
Let x denote the number of days required to build the road for 80 people.
Then the ratio, 80/50 = 256/x
⇒ x = (256×50)/80 = 160
Therefore, 80 people will build the same road in 160 days.
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Answer:
∠AXC = 46°
∠BXC = 23°
Step-by-step explanation:
If XB is the angle bisector of ∠AXC then XB bisects ∠AXC t at X. Hence;
∠AXC = ∠AXB+∠BXC and ∠AXB= ∠BXC
The equation becomes
∠AXC = ∠AXB+∠AXB
∠AXC = 2∠AXB
Given
m∠AXB=23°
Substitute the given angle into the expression above to get ∠AXC since we are not told what to find but we can as well find ∠AXC
∠AXC =2(23)
∠AXC = 46°
<em>Also note that since ∠AXB= ∠BXC,</em> <em>then ∠BXC will be 23°</em>