Answer:
30 mph
Step-by-step explanation:
time = distance/speed
If x represents Jane's speed along the summit then her total exploration time is ...
12/x + 40/(x -5) = 2 . . . . . hours
Multiplying by (x)(x -5), we get ...
12(x -5) +40(x) = 2(x)(x -5)
Dividing by 2 and subtracting the left side gives ...
x^2 -31x +30 = 0
(x -30)(x -1) = 0 . . . . . factor
Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...
Jane's speed along the summit was 30 mph.
The result is the perpendicular bisector of AB, perpendicular to the segment AB, and through its midpoint.
Answer:
The probability of getting an a in both courses is 1.27
Step-by-step explanation:
Probability of getting A in Math, P(M) = 0.6
5
Probability of getting A in Science, P(S) = 0.62
Required probability of getting A in both courses, P(M and S)
= P(M) + P(S)
= 0.65 + 0.62
= 1.27
Answer:
12 cleaners
Step-by-step explanation:
8 cleaner can clean in 3 hours = 1 office
1 cleaner can clean in 3 hours =
part of job
1 cleaner can clean in 1 hours =
part of job
Let the number of cleaner required to finish the job in 2 hours = x
hence
x cleaner can clean in 1 hours =
part of job
x cleaner can clean in 2 hours =
part of job
Hence




Hence we need 12 men to complete the same job in 2 hours